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Finding the Fourth Proportional to 26,299.90, 39,448.52 and 9,658.66

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Solution

The fourth proportional to 26,299.90, 39,448.52 and 9,658.66 is: 14,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,299.90 : 39,448.52 = 9,658.66 : x
  2. Step 2: Convert to fraction form
    26,299.90/39,448.52 = 9,658.66/x
  3. Step 3: Cross multiply
    26,299.90x = 39,448.52 × 9,658.66
  4. Step 4: Simplify right side
    26,299.90x = 381,019,842.18
  5. Step 5: Solve for x
    x = 381,019,842.18/26,299.90
  6. Step 6: Final answer
    x = 14,487.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.